Built on

J. W. York, Jr., “Role of conformal three geometry in the dynamics of gravitation,” Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett. 126B
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys. B 252
1985
Earlier work this paper cites.
J. D. Brown and C. Teitelboim, “Dynamical Neutralization of the Cosmological Constant,” Phys. Lett. B 195
1987
Earlier work this paper cites.
G. W. Gibbons and K. I. Maeda, “Black Holes and Membranes in Higher Dimensional Theories with Dilaton Fields,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
J. D. Brown and C. Teitelboim, “Neutralization of the Cosmological Constant by Membrane Creation,” Nucl. Phys. B 297
1988
Earlier work this paper cites.
H. W. Braden, J. D. Brown, B. F. Whiting and J. W. York, Jr., “Charged black hole in a grand canonical ensemble,” Phys. Rev. D 42
1990
Earlier work this paper cites.
D. Garfinkle, G. T. Horowitz and A. Strominger, “Charged black holes in string theory,” Phys. Rev. D 43
1992
Earlier work this paper cites.
O. Lechtenfeld and C. Nappi, “Dilaton Gravity and No-Hair Theorem in Two Dimensions,” Phys. Lett. B2̱88 (1992) 72-76. hep-th/9204026
1992
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
G. Hayward, “Gravitational action for space-times with nonsmooth boundaries,” Phys. Rev. D 47
1993
Earlier work this paper cites.
S. Trivedi, “Semiclassical extremal black holes,” Phys. Rev. D 47
1993
Earlier work this paper cites.
A. Strominger and S. Trivedi, “Information Consumption by Reissner-Nordstrom Black Holes,” Phys. Rev. D4̱8: 5778-5783, 1993. hep-th/9302080
1993
Earlier work this paper cites.
D. Brill and G. Hayward, “Is the gravitational action additive?,” Phys. Rev. D 50
1994
Earlier work this paper cites.
S. W. Hawking and S. F. Ross, “Duality between electric and magnetic black holes,” Phys. Rev. D 52
1995
Earlier work this paper cites.
V. P. Frolov, W. Israel, and S. N.Solodukhin, “On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes,” Phys. Rev. D5 4
1996
Earlier work this paper cites.
S. Deser, M. Henneaux and C. Teitelboim, “Electric-magnetic black hole duality,” Phys. Rev. D 55
1997
Earlier work this paper cites.
J. D. Brown, “Duality invariance of black hole creation rates,” Phys. Rev. D 56
1997
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev. D 60
1999
Earlier work this paper cites.
D. Youm, “Black holes and solitons in string theory,” Phys. Rept. 316
1999
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406 (2000), no. 6799 1047–1054 quant-ph/9908043
2000
Earlier work this paper cites.
D. V. Vassilevich, “Heat kernel expansion: User’s manual,” Phys. Rept. 388
2003
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Dilaton black holes in de Sitter or Anti-de Sitter universe,” Phys. Rev. D 70
2004
Earlier work this paper cites.
G. Esposito, G. Fucci, A. Y. Kamenshchik and K. Kirsten, “Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions,” Class. Quant. Grav. 22
2005
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Higher dimensional dilaton black holes with cosmological constant,” Phys. Lett. B 605
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
H. K. Kunduri, J. Lucietti and H. S. Reall, “Near-horizon symmetries of extremal black holes,” Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
H. Elvang, D. Z. Freedman and H. Liu, “From fake supergravity to superstars,” JHEP 0712
2007
Earlier work this paper cites.
P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP 0709
Original
2007
Earlier work this paper cites.
A. Sen, “Black Hole Entropy Function, Attractors and Precision Counting of Microstates,” Gen. Rel. Grav. 40
Original
2008
Earlier work this paper cites.
A. Castro, D. Grumiller, F. Larsen and R. McNees, “Holographic Description of AdS(2) Black Holes,” JHEP 0811
Original
2008
Earlier work this paper cites.
J. Watrous, “Quantum Computational Complexity,” pp 7174-7201 in Encyclopedia of Complexity and Systems Science
Original
2009
Earlier work this paper cites.
S. M. Carroll, M. C. Johnson and L. Randall, “Extremal limits and black hole entropy,” JHEP 0911
Original
2009
Earlier work this paper cites.
C. Charmousis, B. Gouteraux, B. S. Kim, E. Kiritsis and R. Meyer, “Effective Holographic Theories for low-temperature condensed matter systems,” JHEP 1011
Original
2010
Earlier work this paper cites.
S. H. Hendi, A. Sheykhi and M. H. Dehghani, “Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity,” Eur. Phys. J. C 70
Original
2010
Earlier work this paper cites.

Similar

R. C. Myers and A. Sinha, “Holographic c-theorems in arbitrary dimensions,” JHEP 1101
Original
2011
Cited alongside, same era.
K. I. Maeda and M. Nozawa, “Black hole solutions in string theory,” Prog. Theor. Phys. Suppl. 189
Original
2011
Cited alongside, same era.
B. Gouteraux and E. Kiritsis, “Generalized Holographic Quantum Criticality at Finite Density,” JHEP 1112
Original
2011
Cited alongside, same era.
B. Swingle, “Entanglement Renormalization and Holography,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
D. D. Blanco, H. Casini, L. Y. Hung and R. C. Myers, “Relative Entropy and Holography,” JHEP 1308
Original

Then

J. Couch, W. Fischler and P. H. Nguyen, “Noether charge, black hole volume, and complexity,” JHEP 1703
Original
2017
Later among the works it cites.
P. Caputa, N. Kundu, M. Miyaji, T. Takayanagi and K. Watanabe, “Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories,” Phys. Rev. Lett. 119
Original
2017
Later among the works it cites.
A. Reynolds and S. F. Ross, “Complexity in de Sitter Space,” Class. Quant. Grav. 34
Original
2017
Later among the works it cites.
D. A. Roberts and B. Yoshida, “Chaos and complexity by design,” JHEP 1704
Original
2017
Later among the works it cites.
K. Hashimoto, N. Iizuka and S. Sugishita, “Time evolution of complexity in Abelian gauge theories,” Phys. Rev. D 96

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2018

Holographic Complexity Equals Which Action?

Goto, Kanato, Marrochio, Hugo, Myers, Robert C. et al.

Understand

We revisit the complexity$=$action proposal for charged black holes.

We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is sensitive to the ratio between electric and magnetic charges.
In particular, the late-time growth rate vanishes when the black hole carries only a magnetic charge.
If the dyonic black hole is perturbed by a light shock wave, a similar feature appears for the switchback effect, e.g., it is absent for purely magnetic black holes.

Built on

J. W. York, Jr., “Role of conformal three geometry in the dynamics of gravitation,” Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett. 126B
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys. B 252
1985
Earlier work this paper cites.
J. D. Brown and C. Teitelboim, “Dynamical Neutralization of the Cosmological Constant,” Phys. Lett. B 195
1987
Earlier work this paper cites.
G. W. Gibbons and K. I. Maeda, “Black Holes and Membranes in Higher Dimensional Theories with Dilaton Fields,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
J. D. Brown and C. Teitelboim, “Neutralization of the Cosmological Constant by Membrane Creation,” Nucl. Phys. B 297
1988
Earlier work this paper cites.
H. W. Braden, J. D. Brown, B. F. Whiting and J. W. York, Jr., “Charged black hole in a grand canonical ensemble,” Phys. Rev. D 42
1990
Earlier work this paper cites.
D. Garfinkle, G. T. Horowitz and A. Strominger, “Charged black holes in string theory,” Phys. Rev. D 43
1992
Earlier work this paper cites.
O. Lechtenfeld and C. Nappi, “Dilaton Gravity and No-Hair Theorem in Two Dimensions,” Phys. Lett. B2̱88 (1992) 72-76. hep-th/9204026
1992
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
G. Hayward, “Gravitational action for space-times with nonsmooth boundaries,” Phys. Rev. D 47
1993
Earlier work this paper cites.
S. Trivedi, “Semiclassical extremal black holes,” Phys. Rev. D 47
1993
Earlier work this paper cites.
A. Strominger and S. Trivedi, “Information Consumption by Reissner-Nordstrom Black Holes,” Phys. Rev. D4̱8: 5778-5783, 1993. hep-th/9302080
1993
Earlier work this paper cites.
D. Brill and G. Hayward, “Is the gravitational action additive?,” Phys. Rev. D 50
1994
Earlier work this paper cites.
S. W. Hawking and S. F. Ross, “Duality between electric and magnetic black holes,” Phys. Rev. D 52
1995
Earlier work this paper cites.
V. P. Frolov, W. Israel, and S. N.Solodukhin, “On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes,” Phys. Rev. D5 4
1996
Earlier work this paper cites.
S. Deser, M. Henneaux and C. Teitelboim, “Electric-magnetic black hole duality,” Phys. Rev. D 55
1997
Earlier work this paper cites.
J. D. Brown, “Duality invariance of black hole creation rates,” Phys. Rev. D 56
1997
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev. D 60
1999
Earlier work this paper cites.
D. Youm, “Black holes and solitons in string theory,” Phys. Rept. 316
1999
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406 (2000), no. 6799 1047–1054 quant-ph/9908043
2000
Earlier work this paper cites.
D. V. Vassilevich, “Heat kernel expansion: User’s manual,” Phys. Rept. 388
2003
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Dilaton black holes in de Sitter or Anti-de Sitter universe,” Phys. Rev. D 70
2004
Earlier work this paper cites.
G. Esposito, G. Fucci, A. Y. Kamenshchik and K. Kirsten, “Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions,” Class. Quant. Grav. 22
2005
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Higher dimensional dilaton black holes with cosmological constant,” Phys. Lett. B 605
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
H. K. Kunduri, J. Lucietti and H. S. Reall, “Near-horizon symmetries of extremal black holes,” Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
H. Elvang, D. Z. Freedman and H. Liu, “From fake supergravity to superstars,” JHEP 0712
2007
Earlier work this paper cites.
P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP 0709
Original
2007
Earlier work this paper cites.
A. Sen, “Black Hole Entropy Function, Attractors and Precision Counting of Microstates,” Gen. Rel. Grav. 40
Original
2008
Earlier work this paper cites.
A. Castro, D. Grumiller, F. Larsen and R. McNees, “Holographic Description of AdS(2) Black Holes,” JHEP 0811
Original
2008
Earlier work this paper cites.
J. Watrous, “Quantum Computational Complexity,” pp 7174-7201 in Encyclopedia of Complexity and Systems Science
Original
2009
Earlier work this paper cites.
S. M. Carroll, M. C. Johnson and L. Randall, “Extremal limits and black hole entropy,” JHEP 0911
Original
2009
Earlier work this paper cites.
C. Charmousis, B. Gouteraux, B. S. Kim, E. Kiritsis and R. Meyer, “Effective Holographic Theories for low-temperature condensed matter systems,” JHEP 1011
Original
2010
Earlier work this paper cites.
S. H. Hendi, A. Sheykhi and M. H. Dehghani, “Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity,” Eur. Phys. J. C 70
Original
2010
Earlier work this paper cites.